Moreover, algorithms initially dedicated to the computation of large
deviations are still efficient to compute the probability of extreme
heat waves. The results show in this paper and in [1]}
refer to a perpetual summer setup, with no time dependent external
forcing acting on the system. In the applications envisioned by [2]}
and [3]}, the algorithm was not meant to
be applied in presence of a time dependent forcing on time scales
comparable with the duration of the events of interest, while in the
original formulation of [4]} there
are not limitations in this sense. The daily cycle is shorter than
the resampling time, so that including it does not present any problem.
We are currently testing the performances of the algorithm in presence
of seasonal cycle, that will be the subject of future studies. Even
in the form presented in this paper however, the large deviation algorithm
could be of extreme interest for application to more theoretical studies
in which perpetual summer condition are a common setup.
